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An experiment consists of recording boy-girl composition of families with 2 children.
(i) What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?
(ii) What is the sample space if we are interested in the number of girls in the family?
(i) What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?
(ii) What is the sample space if we are interested in the number of girls in the family?
Solution:
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(i) The sample space $S$ is knowing whether it is a boy or girl in the order of their birth in composition of families is
$S=\{B B, B G, G B, G G\}$
(ii) The sample space $\mathrm{S}$, in knowing the number of girls in a family is $S=\{0,1,2\}$
$S=\{B B, B G, G B, G G\}$
(ii) The sample space $\mathrm{S}$, in knowing the number of girls in a family is $S=\{0,1,2\}$
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